Question: Consider the following Linear Program: Minimize Z - -2x + 5x2 + 3x3 subject to xy + 2x2 + 4x3 = 16 (Constraint-A) 3x1 -

Consider the following Linear Program: Minimize Z - -2x + 5x2 + 3x3 subject to xy + 2x2 + 4x3 = 16 (Constraint-A) 3x1 - 4x2 + 5x35 36 (Constraint-B) x1 + x2 + 2x3 > 12 (Constraint-C) x120, X220, X320 a) Work through Simplex, using Big M method, to obtain the optimal solution. (20 marks) b) Apply Simplex, using 2-Phase method, to determine optimal solution. (20 marks) c) Which of the above two methods do you prefer for solving an LP, and why? (10 marks)

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